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Finding the Third Proportional to 481,658 and 715,515

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Solution

The third proportional to 481,658 and 715,515 is: 1,062,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,658 : 715,515 = 715,515 : x
  2. Step 2: Convert to fraction form
    481,658/715,515 = 715,515/x
  3. Step 3: Cross multiply
    481,658x = 715,515 × 715,515
  4. Step 4: Simplify right side
    481,658x = 511,961,715,225
  5. Step 5: Solve for x
    x = 511,961,715,225/481,658
  6. Step 6: Final answer
    x = 1,062,915.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.